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Unformatted text preview: 34. The magnetic ﬁeld B can be expressed as
B (t) = B0 + B1 sin(ωt + φ0 ) ,
where B0 = (30.0 T + 29.6 T)/2 = 29.8 T and B1 = (30.0 T − 29.6 T)/2 = 0.200 T. Then from Eq. 3127
E= 1
2 dB
dt r= 1
rd
[B0 + B1 sin(ωt + φ0 )] = B1 ωr cos(ωt + φ0 ) .
2 dt
2 We note that ω = 2πf and that the factor in front of the cosine is the maximum value of the ﬁeld.
Consequently,
Emax = 1
1
B1 (2πf )r = (0.200 T)(2π )(15 Hz)(1.6 × 10−2 m) = 0.15 V/m .
2
2 ...
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 Fall '08
 SPRUNGER
 Physics

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